Combinatorics & discrete mathematics
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- The Plane-Saturation Ratio of Planar Graphs
- Counting Admissible Sets of Integers: A Proof of the Erdős--Nicolas--Sárközy Conjecture
- A general algebraic characterization of extremal Δ-trees and k-cyclic graphs for degree-homogeneous VDB indices
- On first-order limiting probabilities for small permutation classes
- Optimal solution ranks in the Max-Cut semidefinite relaxation
- Sharp bounds for Duke--Erdős--Rödl problems on cycle-connected subgraphs
- Three Quadratic Recurrences Modulo 3: What We Can Prove and What We Can Guess
- The Golomb--Welch conjecture for arbitrary centre sets
- Cross numbers and the characterization of finite abelian groups by length sets
- Asymptotic Rank of Complete Graph Tensors
- General-position sets and linear hypergraphs
- The 𝒜α-Spectral Turán Problem for s-Clique Tensors of Kr+1-Free Graphs
- Jónsson cardinals, Magidor cardinals, and the number of omitted colors
- Finite-sum Identities and Supercongruences for Cubes of Catalan Numbers
- Colored Partitions and Minimal Excludants
- A planar signed graph with circular chromatic number five
- Minimum Distance Spectral Radius of Tree with Given Maximum Degree
- Spectral Turán problems for complete bipartite expansions in linear hypergraphs
- Extremal 3-uniform hypergraphs without generalized 4-cycles
- The Golomb--Welch conjecture for lattice tilings
- On 2-Arc-Transitive Cayley Graphs of Nonabelian Characteristically Simple Groups
- Explicit weighing matrices W(n,k) for all n ≡ 0 pmod 4 with 4 ≤ n ≤ 108, and all 1 ≤ k ≤ n
- Nilpotent Lie algebras of nilpotence class at most three via graphs
- Inverse Zero-Sum Problems of Erdős--Ginzburg--Ziv constant: Property C and Property D conjectures
- Intersecting integer partitions: star bounds and counterexamples at every scale